If you don't want to wait for mail or pay shipping you might try a farm supply/feed store if you have one nearby. Tractor Supply (TSC) or Rural King are the big chains we have, but there are lots of local 'mom and pop' stores out there too.

Yeah, vets would be a good try. Many states in the US have restrictions on hypodermic needles for human use(with some, they can be legally dispensed at the pharmacists' judgement). Ironically, almost all of these states have virtually no restrictions on such needles for animal use. Another potential source would be a mycology supplier. Then of course, there is always ebay (I would be super careful here though).

To follow up, I ordered 3mm syringes and blunt tip 3" needles from an online store. This feels much more precise than the plastic bulb suction pipette. In fact, I think I need to decrease the volume of rennet I am using since my flocculation times are too short now with 1.7ml for 2 gallons measured in the syringe rather than in the pipette.